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LambdaMandelbrot {
;
; Mandelbrot set corresponding to the classical Lambda Julia
; set. Use this fractal in Switch mode to find interesting
; Julia sets.
;
; Written by Damien M. Jones.
;
init:
  z = @start
  
loop:
  z = #pixel*z*(1-z)^(@power-1)
  
bailout:
  |z| < @bailout

default:
  title = "Lambda (Mandelbrot)"
  helpfile = "Uf*.chm"
  helptopic = "Html\formulas\standard\lambda.html"
  center = (1,0)
  magn = 0.5
  
  param start
    caption = "Start Value"
    default = (0.5, 0)
    hint = "The starting value parameter can be used to distort the Mandelbrot \
            set. Use (0.5, 0) for the standard Mandelbrot set."
  endparam
  param power
    caption = "Exponent"
    default = (2, 0)
    hint = "This parameter sets the exponent for the Lambda formula. \
            Increasing the real part to 3, 4, and so on, will add discs to \
            the fractal. Non-integer real values and non-zero imaginary values \
            will create distorted Mandelbrot fractals. Use (2, 0) for the \
            classic Lambda set."
  endparam
  param bailout
    caption = "Bailout"
    default = 1.0e20
$IFDEF VER40
    exponential = true
$ENDIF
    hint = "This parameter defines how soon an orbit bails out while \
            iterating. Larger values give smoother outlines; values around 4 \
            give more interesting shapes around the set. Values less than 4 \
            will distort the fractal."
  endparam

switch:
  type = "LambdaJulia"
  seed = #pixel
  power = @power
  bailout = @bailout
}